Numerical Simulation of Overland Flows Using Godunov Scheme Based on Finite Volume Method

8 pages•Published: September 20, 2018

Dawei Zhang, Jin Quan, Zhili Wang, Hongbin Zhang and Jianming Ma

Abstract

A new numerical model for simulating overland flows has been developed using Godunov scheme based on the two-dimensional fully dynamic shallow water equations (SWEs). There are a number of frequently and partially submerged cells due to steep slopes, coarse meshes and small depth when simulating the surface runoff propagation, which are different from the original hydraulic applications such as flooding. In order to provide an accurate numerical solution for overland flows, the model in this work uses the Roe’s approximate Riemann solver for the calculation of fluxes on the triangulated unstructured grid based on the flow sheet regime, and the bottom slope terms are calculated directly by applying the Green’s theorem. To control the global stability of the model, the semi-implicit discretization method is adopted to deal with the highly nonlinear friction terms. The new model provides more comprehensive calculation capabilities, which are proved by several case studies, and the numerical results match well with analytical solutions, experimental data or results computed by other numerical models.

Keyphrases: finite volume method, godunov scheme, numerical simulation, overland flow, unstructured grid

In: Goffredo La Loggia, Gabriele Freni, Valeria Puleo and Mauro De Marchis (editors). HIC 2018. 13th International Conference on Hydroinformatics, vol 3, pages 2425-2432.

Links:	https://easychair.org/publications/paper/LnLS
	https://doi.org/10.29007/nbs4

BibTeX entry

@inproceedings{HIC2018:Numerical_Simulation_Overland_Flows,
  author    = {Dawei Zhang and Jin Quan and Zhili Wang and Hongbin Zhang and Jianming Ma},
  title     = {Numerical Simulation of Overland Flows Using Godunov Scheme Based on Finite Volume Method},
  booktitle = {HIC 2018. 13th International Conference on Hydroinformatics},
  editor    = {Goffredo La Loggia and Gabriele Freni and Valeria Puleo and Mauro De Marchis},
  series    = {EPiC Series in Engineering},
  volume    = {3},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2516-2330},
  url       = {/publications/paper/LnLS},
  doi       = {10.29007/nbs4},
  pages     = {2425-2432},
  year      = {2018}}

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